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Finding the Fourth Proportional to 6,230.40, 8,597.64 and 3,435.84

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Solution

The fourth proportional to 6,230.40, 8,597.64 and 3,435.84 is: 4,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.40 : 8,597.64 = 3,435.84 : x
  2. Step 2: Convert to fraction form
    6,230.40/8,597.64 = 3,435.84/x
  3. Step 3: Cross multiply
    6,230.40x = 8,597.64 × 3,435.84
  4. Step 4: Simplify right side
    6,230.40x = 29,540,115.42
  5. Step 5: Solve for x
    x = 29,540,115.42/6,230.40
  6. Step 6: Final answer
    x = 4,741.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.